7242007680 has 96 divisors (see below), whose sum is σ = 25007577660. Its totient is φ = 1931200512.

The previous prime is 7242007679. The next prime is 7242007693. The reversal of 7242007680 is 867002427.

It can be written as a sum of positive squares in 2 ways, for example, as 6851866176 + 390141504 = 82776^2 + 19752^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 622887 + ... + 634406.

Almost surely, 2^7242007680 is an apocalyptic number.

It is an amenable number.

7242007680 is an abundant number, since it is smaller than the sum of its proper divisors (17765569980).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7242007680 is a wasteful number, since it uses less digits than its factorization.

7242007680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257318 (or 1257303 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 7242007680 is about 85099.9863689766. The cubic root of 7242007680 is about 1934.7268568641.

The spelling of 7242007680 in words is "seven billion, two hundred forty-two million, seven thousand, six hundred eighty".